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Finding the Fourth Proportional to 3,439, 5,158.62 and 1,130.68

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Solution

The fourth proportional to 3,439, 5,158.62 and 1,130.68 is: 1,696.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439 : 5,158.62 = 1,130.68 : x
  2. Step 2: Convert to fraction form
    3,439/5,158.62 = 1,130.68/x
  3. Step 3: Cross multiply
    3,439x = 5,158.62 × 1,130.68
  4. Step 4: Simplify right side
    3,439x = 5,832,748.46
  5. Step 5: Solve for x
    x = 5,832,748.46/3,439
  6. Step 6: Final answer
    x = 1,696.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.